Answer:
A) 1.3*10¹
B)7*10⁰ - Actually I am not very sure if it is required to write 10⁰. I normally don't write 10⁰ (When I solve problems in physics if the answer for example is 7 I just write 7 not 7*10⁰). But if you check on Google 10⁰ has been mentioned
C)1.4*10¹
D)1.2*10¹
Step-by-step explanation:
For any number when you express it in a scientific notation, You should make sure that the number (for example : X) X which is going to be multiplied with a power of 10 (for example:10³,10⁴10¹⁰ etc), X should be between 1 and 10
This might sound very complicated so I can give you an example to simplify
Let's take 1.3*10¹
In this case X is 1.3
This means X*10¹
The number X is being multiplied with the power of 10(example:10¹,10²,10⁰,10⁹ ,etc) .In the above case X is being multiplied with 10¹.
Now this number X should be between 1 and 10.(Including 1)
Scientific notation= X*power of 10
where x>=1 & x<10
That is the explanation
Hope it helps
If you think my explanation is a bit complicated
you can ask me again
Who'd be better at speed answering? Datguy323 or some Helping Hand? (Not a serious question) Solve for the variables: [tex]x^3+y^7=28\\x^3=27[/tex]
Answer:
x = 3
y = 1
Step-by-step explanation:
The equations are:
[tex]x^3+y^7 = 28[/tex]
and
[tex]x^3 = 27[/tex]
Putting second equation in the first one:
=> [tex]27+y^7 = 28[/tex]
Subtracting 27 to both sides
=> [tex]y^7 = 28-27[/tex]
=> [tex]y^7 = 1[/tex]
Taking power 7 to both sides
=> y = 1
Now,
[tex]x^3 = 27[/tex]
Taking cube root on the both sides
x = 3
Answer: (3,1)
Step-by-step explanation:
First, to find x, simply take the cube root of 27, or 3. Thus, x = 3.
Then, simply plug it in:
[tex]27+y^7=28\\Subtract(27)\\y^7=1\\y=1[/tex]
Thus, y = 1
Hope it helps <3
p.s. for some reason, in a graphing calculator, it shows no solutions
Hope it helps <3
2 in a row!
Calculate the volume of a rectangular prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm. (As before, you do not need to enter the units since they are provided to the right of the answer box.)
Answer:
85.932 cm³
Step-by-step explanation:
The volume of rectangular prism is obtained as the product of its length (l) by its width (w) and by its height (h):
[tex]V=l*w*h[/tex]
The volume of a prism with a length of 4.4 cm, a width of 3.1 cm, and a height of 6.3 cm is:
[tex]V=4.4*3.1*6.3\\V=85.932\ cm^3[/tex]
The volume of this prism is 85.932 cm³.
Which statement is true about the graphs of the two lines y = -5/4x + 2 and y =-5/4 x-1/2 ?
Answer:
They are both parallel lines
Step-by-step explanation:
they both have the slope of -5/4
The shape of the distribution of the time required to get an oil change at a 15-minute oil-change facility is unknown. However, records indicate that the mean time is 16.2 minutes, and the standard deviation is 3.4 minutes.
Requried:
a. What is the probabilty that a random sample of n = 40 oil changes results in a sample mean time less than 15 minutes?
b. Suppose the manager agrees to pay each employee a $50 bonus if they meet a certain goal. On a typical Saturday, the oil-change facility will perform 40 oil changes between 10 A.M. and 12 P.M. Treating this as a random sample, there
would be a 10% chance of the mean oil-change time being at or below what value? This will be the goal established by the manager.
Answer:
(a) Probability that a random sample of n = 45 oil changes results in a sample mean time < 10 minutes i=0.0001.
(b) The mean oil-change time is 15.55 minutes.
Step-by-step explanation:
Let us denote the sample mean time as x
From the Then x = mean time = 16.2 minutes
The given standard deviation = 3.4 minutes
The value of n sample size = 45
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
if my medical expenses are $30,000 per year for 35 years with inflation at 5.13% how much money would I have to put in an interest bearing account with a 5% return to cover all medical expenses and the account be $0 at the end of 35 years
Answer:
$1,021,337.13
Step-by-step explanation:
The sum of present values of medical expenses is ...
30,000/1.05 +30,000(1.0513)/1.05^2 +30,000(1.0513^2)/1.05^3 +...
So, the series has an initial value of 30,000/1.05 and a common ratio of 1.0513/1.05. Its sum is given by ...
S = a(r^n -1)/(r -1)
where a = 30,000/1.05, n = 35, r = 1.0513/1.05.
Filling in these values and doing the arithmetic, we get ...
S = $1,021,337.13
You need an initial deposit of $1,021,337.13 to cover rising expenses for 35 years.
Find the slope of the line passing through (6,8) and (-10,3)
Answer:
5/16
Step-by-step explanation:
Use the formula to find slope when 2 points are given.
m = rise/run
m = y2 - y1 / x2 - x1
m = 3 - 8 / -10 - 6
m = -5 / -16
m = 5/16
The slope of the line is 5/16.
Answer: m=5/16
Step-by-step explanation:
Let X be the damage incurred (in $) in a certain type of accident during a given year. Possible X values are 0, 1000, 5000, and 10000, with probabilities 0.80, 0.08, 0.10, and 0.02, respectively. A particular company offers three different policies: a $200 deductible with a $780 premium, a $500 deductible with a $700 premium, and a $1000 deductible with a $590 premium. (A $Y deductible means the insurance company pays X - Y for X Y and 0 for X Y.) Compute the expected profit for each policy.
Answer:
Expected profit policy 1 = $40
Expected profit policy 2 = $20
Expected profit policy 3 = $10
Step-by-step explanation:
X values | Probability P(x)
0 | 0.80
1,000 | 0.08
5,000 | 0.10
10,000 | 0.02
A particular company offers three different policies:
Policy 1: $200 deductible with a $780 premium
Policy 2: $500 deductible with a $700 premium
Policy 3: $1000 deductible with a $590 premium
The company pays X - Y in damages if X > Y and 0 otherwise.
So the expected profit is given by
Expected profit = Premium amount - Expected payout
Expected profit = Premium amount - [ (X - deductible) × P(x) ]
Expected profit Policy 1:
E(x) = $780 - [ 0×0.80 + (1,000 - 200)×0.08 + (5,000 - 200)×0.10 + (10,000 - 200)×0.02 ]
E(x) = $780 - [ 0 + 64 + 480 + 196 ]
E(x) = $780 - $740
E(x) = $40
Expected profit Policy 2:
E(x) = $700 - [ 0×0.80 + (1,000 - 500)×0.08 + (5,000 - 500)×0.10 + (10,000 - 500)×0.02 ]
E(x) = $700 - [ 0 + 40 + 450 + 190 ]
E(x) = $700 - $680
E(x) = $20
Expected profit Policy 3:
E(x) = $590 - [ 0×0.80 + (1,000 - 1,000)×0.08 + (5,000 - 1,000)×0.10 + (10,000 - 1,000)×0.02 ]
E(x) = $590 - [ 0 + 0 + 400 + 180 ]
E(x) = $590 - $580
E(x) = $10
Therefore, the expected profits for the three policies are:
Expected profit policy 1 = $40
Expected profit policy 2 = $20
Expected profit policy 3 = $10
What is the median for the set of data shown below?
16, 23, 24, 39, 45, 78, 95
Answer:
39
Step-by-step explanation:
The median is the middle number
16, 23, 24, 39, 45, 78, 95
There are 7 numbers so the middle number is the 4th number
6, 23, 24, 39 , 45, 78, 95
The median is 39
Answer:
39
Step-by-step explanation:
The median is the number in the middle of a data set.
First, arrange the numbers from least to greatest.
16, 23, 24, 39, 45, 78, 95
Then, cross one number off both sides of the data set until the middle is reached.
16, 23, 24, 39, 45, 78, 95
23, 24, 39, 45, 78
24, 39, 45,
39
The median is 39
Determine the area (in units2) of the region between the two curves by integrating over the x-axis. y = x2 − 24 and y = 1
The area bounded by region between the curve [tex]y = x^2- 24[/tex] and [tex]y = 1[/tex] is
[tex]0[/tex] square units.
To find the Area,
Integrate the difference between the two curves over the interval of intersection.
Find the points of intersection between the curves [tex]y = x^2- 24[/tex] and [tex]y = 1[/tex] .
The point of Intersection is the common point between the two curve.
Value of [tex]x[/tex] and [tex]y[/tex] coordinate will be equal for both curve at point of intersection
In the equation [tex]y = x^2- 24[/tex], Put the value of [tex]y = 1[/tex].
[tex]1 = x^2-24[/tex]
Rearrange, like and unlike terms:
[tex]25 = x^2[/tex]
[tex]x =[/tex] ±5
The point of intersection for two curves are:
[tex]x = +5[/tex] and [tex]x = -5[/tex]
Integrate the difference between the two curve over the interval [-5,5] to calculate the area.
Area = [tex]\int\limits^5_{-5} {x^2-24-1} \, dx[/tex]
Simplify,
[tex]= \int\limits^5_{-5} {x^2-25} \, dx[/tex]
Integrate,
[tex]= [\dfrac{1}{3}x^3 - 25x]^{5} _{-5}[/tex]
Put value of limits in [tex]x[/tex] and subtract upper limit from lower limit.
[tex]= [\dfrac{1}{3}(5)^3 - 25(5)] - [\dfrac{1}{3}(-5)^3 - 25(-5)][/tex]
= [tex]= [\dfrac{125}{3} - 125] - [\dfrac{-125}{3} + 125][/tex]
[tex]= [\dfrac{-250}{3}] - [\dfrac{-250}{3}]\\\\\\= \dfrac{-250}{3} + \dfrac{250}{3}\\\\\\[/tex]
[tex]= 0[/tex]
The Area between the two curves is [tex]0[/tex] square units.
Learn more about Integration here:
https://brainly.com/question/30402524
#SPJ4
32 percent of the customers of a fast food chain order the Whopper, French fries and a drink. A random sample of 10 cash register receipts is selected. What is the probability that eight receipts will show that the above three food items were ordered?
Answer: 0.0023
Step-by-step explanation:
Let X be the binomial variable that represents the number of receipts will show that the above three food items were ordered.
probability of success p = 32% = 0.32
Sample size : n= 10
Binomial probability function :
[tex]P(X=x)= \ ^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that eight receipts will show that the above three food items were ordered :
[tex]P(X=8)=\ ^{10}C_8(0.32)^8(1-0.32)^2\\\\=\dfrac{10!}{8!2!}(0.32)^8(0.68)^2\\\\=5\times9(0.0000508414176684)\\\\=0.00228786379508\approx0.0023[/tex]
hence, the required probability = 0.0023
whats the answer ?? ill mark brainliest
Answer:
[tex]\boxed{Option A ,D}[/tex]
Step-by-step explanation:
The remote (non-adjacent) interior angles of the exterior angle 1 are <4 and <6
At the farm, corn costs $2.50 per pound. How much would 3 1/2 pounds of corn cost? Write your answer in dollars and cents.
Multiply price per pound by total pounds:
2.50 x 3.5 = 8.75
Total cost = $8.75
Answer:
The cost is $8.75 for 3.5 lbs
Step-by-step explanation:
The rate is 2.50 per pound
Multiply the number of pounds by the rate
3.5 * 2.50 =8.75
The cost is $8.75 for 3.5 lbs
On average, the printer uses 500 sheets of paper each day with a standard deviation of 10 sheets. What is the probability that the printer uses more than 508 sheets?
Answer:
P [ x > 508 ] = 0,2
Step-by-step explanation:
P [ x > 508 ] = 1 - P [ x ≤ 508]
P [ x ≤ 508 ] = ( 508 - 500 ) / 10
P [ x ≤ 508 ] = 8/10
P [ x ≤ 508 ] = 0,8
Then
P [ x > 508 ] = 1 - P [ x ≤ 508]
P [ x > 508 ] = 1 - 0,8
P [ x > 508 ] = 0,2
The ratio of the areas of two circles is 121/100. What is the ratio of the radii of the two circles
Answer:
11/10
Step-by-step explanation:
The area ratio is the square of the radius ratio (k):
(121/100) = k²
k = √(121/100) = 11/10
The ratio of radii is 11/10.
find the least common denominator for these two rational expressions. x/x^2-25, c/x^2-3x-10
Answer:
Step-by-step explanation:
Hello,
Let 's notice that
[tex]x^2-25=x^2-5^2=(x-5)(x+5) \ \ and \\\\x^2-3x-10=(x-5)(x+2) \ \text{as sum of the zeroes is 3 and the product is -10}[/tex]
So the least common denominator is
[tex](x-5)(x+5)(x+2)[/tex]
hope this helps
An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3, 12
Step-by-step explanation:
Et x and y be the required integers.
Case 1: x = 5y - 3...(1)
Case 2: xy = 36
Hence, (5y - 3)*y = 36
[tex]5 {y}^{2} - 3y = 36 \\ 5 {y}^{2} - 3y - 36 = 0 \\ 5 {y}^{2} - 15y + 12y - 36 = 0 \\ 5y(y - 3) + 12(y - 3) = 0 \\ (y - 3)(5y + 12) = 0 \\ y - 3 = 0 \: or \: 5y + 12 = 0 \\ y = 3 \: \: or \: \: y = - \frac{12}{5} \\ \because \: y \in \: I \implies \: y \neq - \frac{12}{5} \\ \huge \purple{ \boxed{ \therefore \: y = 3}} \\ \because \: x = 5y - 3..(equation \: 1) \\ \therefore \: x = 5 \times 3 - 3 = 15 - 3 = 12 \\ \huge \red{ \boxed{ x = 12}}[/tex]
Hence, the required integers are 3 and 12.
let
x = one integer
y = another integer
x = 5y - 3
If the product of the two integers is 36, then find the integers.
x * y = 36
(5y - 3) * y = 36
5y² - 3y = 36
5y² - 3y - 36 = 0
Solve the quadratic equation using factorization method
That is, find two numbers whose product will give -180 and sum will give -3
Note: coefficient of y² multiplied by -36 = -180
5y² - 3y - 36 = 0
The numbers are -15 and +12
5y² - 15y + 12y - 36 = 0
5y(y - 3) + 12 (y - 3) = 0
(5y + 12) (y - 3) = 0
5y + 12 = 0 y - 3 = 0
5y = - 12 y = 3
y = -12/5
The value of y can not be negative
Therefore,
y = 3
Substitute y = 3 into x = 5y - 3
x = 5y - 3
x = 5(3) - 3
= 15 - 3
= 12
x = 12
Therefore,
(x, y) = (12, 3)
Read more:
https://brainly.com/question/20411172
Use matrix operations to solve the following systems of linear equations. Use comments to explain which value is x1, x2, etc
3x1-10 x2- 5x3+30x4 = -1
4x1+7x2+ 5x3- 3x4=0
x2+ x3-3x4 =1
x1-2x2-10x3+6x4 = -1
Answer:
x⁴ = -0.955939
x³ = 0.206897
x² = -2.07471
x = 2.65517
Step-by-step explanation:
Step 1: Rewrite equations in standard form
30x⁴ - 5x³ - 10x² + 3x = -1
-3x⁴ + 5x³ + 7x² + 4x = 0
-3x⁴ + x³ + x² = 1
6x⁴ - 10x³ - 2x² + x = -1
Step 2: Write in matrix form
Top Row: [30 -5 -10 3 | -1]
2nd Row: [-3 5 7 4 | 0]
3rd Row: [-3 1 1 0 0 | 1]
Bottom Row: [6 -10 -2 1 | -1]
Step 3: Plug in calc with RREF function
Top Row: [1 0 0 0 | -499/522]
2nd Row: [0 1 0 0 | 6/29]
3rd Row: [0 0 1 0 | -361/174]
4th Row: [0 0 0 1 | 77/29]
The equation of a parabola in the xy-plane is given as
y= n(x + 5)(x - 3) where n is a non-zero constant. What
is the y-coordinate of the vertex of this parabola in
terms of n?
A. -18n
B. -16n
C. -15n
D. -12n
Answer:
B
Step-by-step explanation:
y=n(x+5)(x-3)
or y=n(x²-3x+5x-15)
or y=n(x²+2x-15)
=n(x²+2x+1-1-15)
=n(x+1)²-16n
y -coordinate of vertex=-16n
F(x)+6x+11 inverse function
Answer:
y = x/6 − 11/6
Step-by-step explanation:
y = 6x + 11
To find the inverse, switch x and y, then solve for y.
x = 6y + 11
x − 11 = 6y
y = x/6 − 11/6
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
Answer:
45
Step-by-step explanation:
I really don't but it seems right
Answer:
b
Step-by-step explanation:
just did it on edge
consider a politician discussion group consisting of eight Democrats three Republicans and seven Independents suppose that two group members are randomly selected in succession to attend political convention find the probability of selecting an independent and then a Democrat
Answer:
(38.8%...7/10), than (47%...8/17) I didnt know if u needrd it in fraction or percent.
Step-by-step explanation:
You want to first add up everyone. So in total there are 18 people.
There is than a 38.8% chance that a independent will be picked first. 7/18.
But since one person was picked already you have to subtract 1 person from the total, so now its out of 17.
There is now a 47% chance that a democrat will be picked next. 8/17.
Pls help me help me
Answer:
C. -4/3
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes.
We know that line m is perpendicular to line l.
Line l has a slope of 3/4. To find the slope of line m, find the negative reciprocal of 3/4. Negate the fraction and find the reciprocal.
Negative: switch the sign
3/4 --> -3/4
Reciprocal: switch the numerator (top number) and denominator (bottom number)
-3/4 --> -4/3
Line m has a slope of -4/3 and C is correct.
Find the general formula for the following sequence.
300000, 480000, 768000, 1228800, 1966080, ....
Answer:
3,145,728
Step-by-step explanation:
x1.6
300000 x 1.6 = 4800000
480000 x 1.6 = 7680000
768000 x 1.6 = 1228800
122800 x 1.6 = 1966080
1966080 x 1.6 = 3145728
A population of 500 bacteria is
introduced into a culture and grow in number according to the
equation
P(t) = 500(1+4t/50+t^2)
where t is measured in hours. Find the rate at which the
population is grow ing when t = 2.
Answer:
P(t) = 2580
Step-by-step explanation:
P(2) = 500 (1+(4(2))/50 +2^2)
P(2)= 2580
!!HELP WILL GIVE BRAIN LIST!! Examine the diagram and information to answer the question. A circle in the coordinate plane has a radius of 6 and a center at the point (3,2). Point (x,y) lies on the circle. The triangle formed by points (3,2), (x,2) and (x,y) is a right triangle. What is the equation of the circle? Match the expression or equation to the steps used to find the equation of the circle. answers TO fill IN the match |x−3| (x−2)2+(y−3)2=62 |x−2| |y−3| (x−3)2+(y−2)2=62 |y−2|
Answer:
|y-2||x-3|(x-3)²+(y-2)² = 36Step-by-step explanation:
1. The length of the vertical leg of the triangle is the magnitude of the difference between the y-coordinate of the point on the circle and the y-coordinate of the center:
|y -2|
2. The length of the horizontal leg of the triangle is the magnitude of the difference between the x-coordinate of the point on the circle and the x-coordinate of the center:
|x -3|
3. The Pythagorean theorem tells you the sum of the squares of the leg length is equal to the square of the hypotenuse length. The hypotenuse is given as 6, so the equation is ...
[tex]|y-2|^2 +|x-3|^2=6^2[/tex]
Since the square of a number is the same as the square of its magnitude, we can write this as ...
[tex](x-3)^2+(y-2)^2=36[/tex]
You obtain a simple interest loan from National city for $2500 at 7.6% for 5 years. Find the amount of interest on the loan
Answer:
950
Step-by-step explanation:
2500(0.076)(5) = 950
HELP I KEEP GETTING WRONG ANSWERS!!!!!
Answer:
B) 65
Step-by-step explanation:
Plug in the corresponding numbers to the corresponding variables:
w = -4 ; v = 5 ; u = 2
4w² - v + 3u
4(-4²) - (5) + 3(2)
Remember to follow PEMDAS.
PEMDAS =
Parenthesis
Exponents
Multiplications
Division
Addition
Subtraction
& is the order of operation.
First, solve the power:
4(-4²) - (5) + 3(2)
(-4²) = (-4)(-4) = 16
Next, multiply:
4(16) - 5 + 3(2)
64 - 5 + 6
Finally, combine the terms:
(64 + 6) - 5
70 - 5
65
B) 65 is your answer.
~
I NEED HELP PLEASE, THANKS! :)
Answer:
68
Step-by-step explanation:
The number of chips tested is the integral of the rate over the specified time interval: t = 2 to 6.
[tex]\displaysyle n=\int_2^6{-3t^2+16t+5}\,dt=\left.-3\dfrac{t^3}{3}+16\dfrac{t^2}{2}+5t\right|_2^6\\\\=-(6^3-2^3) +8(6^2-2^2)+5(6-2)=-(216-8)+8(32) +5(4)\\\\=-208+256+20=\boxed{68}[/tex]
The technician can test 68 chips in that time period.
Would this be correct even though I didn’t use the chain rule to solve?
Answer:
Dy/Dx=1/√ (2x+3)
Yeah it's correct
Step-by-step explanation:
Applying differential by chain differentiation method.
The differential of y = √(2x+3) with respect to x
y = √(2x+3)
Let y = √u
Y = u^½
U = 2x +3
The formula for chain differentiation is
Dy/Dx = Dy/Du *Du/Dx
So
Dy/Dx = Dy/Du *Du/Dx
Dy/Du= 1/2u^-½
Du/Dx = 2
Dy/Dx =( 1/2u^-½)2
Dy/Dx= u^-½
Dy/Dx=1/√ u
But u = 2x+3
Dy/Dx=1/√ (2x+3)
What is the solution to this sysiem of inear equacions?
3x-2= 14
5x+y=32
• (3,5)
• (6,2)
• (8,-1)
• (14,-18)
Answer:
the answer i got was (16/3,16/3)
Step-by-step explanation: